Minicourse joint with the Applied Math Seminar. Dr. Ricardo Saenz

Event Description:

Title: Harmonic Analysis on Fractals

Speaker: Ricardo A. Sáenz (Universidad de Colima, Mexico)

Abstract: In this course we study the basic concepts of the theory of Analysis on fractals, as developed by Jun Kigami in the early 1990s. We work out the details of the construction of a harmonic structure on the Sierpinski Gasket, its harmonic functions, and its Laplacian. We discuss the algorithm to construction harmonic functions, as well as the decimation algorithm to construction the eigenfunctions of the eigenfunctions of the Laplacian.